Answer: x = (3 − i√3)/6 and (3 + i√3)/6
Step-by-step explanation:3x² − 3x + 1 = 0
∴ 3x² − 3x = -1
∴ x² − x = -1/3
∴ x² − x + (-1/2)² = (-1/2)² − 1/3
given x² + bx + (b/2)² = (x + b/2)²
∴ (x − 1/2)² = 1/4 − 1/3
∴ (x − 1/2)² = 3/12 − 4/12
∴ (x − 1/2)² = -1/12
∴ x − 1/2 = ±√(-1/12)
This tells us there are no real roots and if you need real number solutions we stop here
∴ x − 1/2 = ±i/(2√3)
∴ x − 1/2 = ±i√(3)/6
∴ x = 1/2 ± i√(3)/6
∴ x = 3/6 ± i√(3)/6
∴ x = (3 − i√3)/6 and (3 + i√3)/6 <= the 2 complex roots
Answer:
Step-by-step explanation:
proportion time...
3 teaspoons salt to 4 cups flour = x teaspoons salt to 28 cups flour
3 x
----- = ----- cross multiply
4 28
(4)(x) = (3)(28)
4x = 84
x = 84/4
x = 21 <==== 21 teaspoons of salt are needed
-6x + 100 = -10x + 160
+ 10x + 10x
4x + 100 = 160
- 100 - 100
4x = 60
4 4
x = 15
Answer:
I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.
Step-by-step explanation:
Answer:
k = -18
Step-by-step explanation:
